Sometimes a BEFORE trigger can be replaced with an AFTER one, but this doesn't appear to be the case in your situation, for you clearly need to provide a value before the insert takes place. So, for that purpose, the closest functionality would seem to be the INSTEAD OF trigger one, as @marc_s has suggested in his comment.
Note, however, that, as the names of these two trigger types suggest, there's a fundamental difference between a BEFORE trigger and an INSTEAD OF one. While in both cases the trigger is executed at the time when the action determined by the statement that's invoked the trigger hasn't taken place, in case of the INSTEAD OF trigger the action is never supposed to take place at all. The real action that you need to be done must be done by the trigger itself. This is very unlike the BEFORE trigger functionality, where the statement is always due to execute, unless, of course, you explicitly roll it back.
But there's one other issue to address actually. As your Oracle script reveals, the trigger you need to convert uses another feature unsupported by SQL Server, which is that of FOR EACH ROW. There are no per-row triggers in SQL Server either, only per-statement ones. That means that you need to always keep in mind that the inserted data are a row set, not just a single row. That adds more complexity, although that'll probably conclude the list of things you need to account for.
So, it's really two things to solve then:
replace the BEFORE functionality;
replace the FOR EACH ROW functionality.
My attempt at solving these is below:
CREATE TRIGGER sub_trg
ON sub1
INSTEAD OF INSERT
AS
BEGIN
DECLARE @new_super TABLE (
super_id int
);
INSERT INTO super (subtype_discriminator)
OUTPUT INSERTED.super_id INTO @new_super (super_id)
SELECT 'SUB1' FROM INSERTED;
INSERT INTO sub (super_id)
SELECT super_id FROM @new_super;
END;
This is how the above works:
The same number of rows as being inserted into sub1 is first added to super. The generated super_id values are stored in a temporary storage (a table variable called @new_super).
The newly inserted super_ids are now inserted into sub1.
Nothing too difficult really, but the above will only work if you have no other columns in sub1 than those you've specified in your question. If there are other columns, the above trigger will need to be a bit more complex.
The problem is to assign the new super_ids to every inserted row individually. One way to implement the mapping could be like below:
CREATE TRIGGER sub_trg
ON sub1
INSTEAD OF INSERT
AS
BEGIN
DECLARE @new_super TABLE (
rownum int IDENTITY (1, 1),
super_id int
);
INSERT INTO super (subtype_discriminator)
OUTPUT INSERTED.super_id INTO @new_super (super_id)
SELECT 'SUB1' FROM INSERTED;
WITH enumerated AS (
SELECT *, ROW_NUMBER() OVER (ORDER BY (SELECT 1)) AS rownum
FROM inserted
)
INSERT INTO sub1 (super_id, other columns)
SELECT n.super_id, i.other columns
FROM enumerated AS i
INNER JOIN @new_super AS n
ON i.rownum = n.rownum;
END;
As you can see, an IDENTIY(1,1) column is added to @new_user, so the temporarily inserted super_id values will additionally be enumerated starting from 1. To provide the mapping between the new super_ids and the new data rows, the ROW_NUMBER function is used to enumerate the INSERTED rows as well. As a result, every row in the INSERTED set can now be linked to a single super_id and thus complemented to a full data row to be inserted into sub1.
Note that the order in which the new super_ids are inserted may not match the order in which they are assigned. I considered that a no-issue. All the new super rows generated are identical save for the IDs. So, all you need here is just to take one new super_id per new sub1 row.
If, however, the logic of inserting into super is more complex and for some reason you need to remember precisely which new super_id has been generated for which new sub row, you'll probably want to consider the mapping method discussed in this Stack Overflow question: